Is the Orange Peel transparency effect impossible in Eevee?
You mean this kind of effect? I don't understand the relationship between orange effect and transparent issue. You might need to confirm what is your main question.



It should be work while you use Screen Space Refraction at render panel:



You will need to turn on Refraction if you want to see thing behind the glass.

And also turn on both alpha blend mode and Screen Space Refraction in your glass material:



Reference

Unable to see objects through Glass BSDF